For the mayonnaise: In a small bowl, mix together mayonnaise, garlic, and
rosemary; set aside.

For the burgers: Preheat a gas or charcoal grill or place a grill pan over
medium-high heat. In a large bowl, add the ground chicken, 1/2 teaspoon salt,
1/4 teaspoon pepper, and 1/2 of the mayonnaise mixture. Using clean hands,
gently combine the ingredients and form the chicken mixture into 4 patties.
Place the burgers on the grill and cook for about 7 minutes on each side. Transfer
to paper towels and let rest for a few minutes.

Brush the cut side of each roll with the olive oil and 1 teaspoon of the
mayonnaise mixture. Grill for 1 to 2 minutes until slightly golden.

To assemble the burgers: Spread a dollop of the remaining mayonnaise mixture on
the tops and bottoms of the toasted buns. Place the chicken burgers on the
bottom halves of the buns. Top each with 1/4 cup of arugula and finish with the
top half of the bun.